The last notable seismic activity to occur in Florida happened in 2006; the time
before that was in 1952. And North
Dakota, which was last shaken by a quake centered in Minnesota
in 1975, has only had a handful of incidents as well. The last shock
that was centered in that state happened in Huff, N.D. in 1968 and had
a magnitude of 4.4.

If you are trying to get away from earthquakes, you may want to
move to Antarctica. According
to the USGS it has fewer earthquakes than any other continent.